MATHEMATICS

JAMB 2010 - Question 36

Mathematics 2010 JAMB Past Questions - Question 36: Find the gradient of the line passing through the points P(1,1) and Q(2,5).

Find the gradient of the line passing through the points P(1,1) and Q(2,5).
A:
B:
C:
D:
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Correct Answer

A

Explanation

Let (xsup1, ysup1) = (1,1) and x (xsup2, ysup2) =(2,5),the gradent m of PQ ism = ysup2 - ysup1 / xsup2 - xsup1 = 5-1 / 2-1 = 4/1 = 4To find the gradient (or slope) of a line passing through two points, we can use the formula:m = (y2 - y1) / (x2 - x1)Given the points P(1,1) and Q(2,5), we can substitute the coordinates into the formula:m = (5 - 1) / (2 - 1)Simplifying the equation, we have:m = 4 / 1m = 4Therefore, the gradient of the line passing through the points P(1,1) and Q(2,5) is 4.